If a person who is HIV positive get's into a non-infected individual can the virus be spread to the non-infected person if both parties sustain stratches & cuts from the fight?

Theoretically yes. Probablitiy is low. The person who got into the fight should get tested for HIV and should get retested about every 6 months.

The person should go for the HIV test,,

Yes, blood transfer from a fight, or if blood gets transferred to the non infected person, in face, mouth, eyes.

So yes, there is a chance of transfer from a fight with blook transfer